Course Catalog 2014-2015
International

Basic Pori International Postgraduate Open University

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Course Catalog 2014-2015

MAT-63756 Applied logics, 7 cr

Additional information

The course is composed of three separate parts: (i) data mining (2 credits) (ii) mathematical foundations of non-classical logics (2 credits) and (iii) real life applications of many-valued logics (3 credits). It is possible to take these parts separately. However, only the largest extent of the course (7 credits) can be included in a M. Sc. or PhD. degree. In case there are several entries of different implementation rounds the credits of independent parts will be summed up.
Suitable for postgraduate studies

Person responsible

Esko Turunen

Lessons

Study type P1 P2 P3 P4 Summer Implementations Lecture times and places
Lectures
Excercises
Online work



 



 



 
 4 h/week
 2 h/week
 12 h/per



 
MAT-63756 2014-01 Wednesday 8 - 11 , TC315
Thursday 8 - 11 , TC 315
Friday 8 - 11 , TC315

Requirements

Examination or partial examinations.
Completion parts must belong to the same implementation

Learning Outcomes

The student will know the aim and principles of (1) data mining, in particular to the GUHA ­method and its applications and (2) mathematical foundations of various non­classical logicsand (3) some real life applications of various non­classical logics.

Content

Content Core content Complementary knowledge Specialist knowledge
1. Introduction to data mining; does my data contain something interesting I did not know? The GUHA method: data matrices as finite models, 'almost all', 'in most cases', 'above average' and other non-standard quantifiers.   Introduction to LISpMiner, a software implementation of the GUHA method. Practical data mining tasks by LISp Miner.   
2. Introduction to mathematical fuzzy logic; real life situations where neither black-or-white logic nor statistical methods are applicable.  Graded similarity as a base of fuzzy reasoning. Fuzzy IF-THEN rules. Constructing real world applications by means of multiple valued logic. Para consistent logic in solving decision making problems.    
3. Monoidal Logic as a basis of various non-standard logics: linear logic, intuitionistic logic, basic fuzzy logic, Lukasiewicz logic.  Residuated lattices, Girard monoids, Heyting algebras, BL-algebras, Wajsberg algebras and MV-algebras. Semantics, syntax and completeness of various non-standard logics.   

Study material

Type Name Author ISBN URL Edition, availability, ... Examination material Language
Book   Mathematics behind Fuzzy Logic   Esko Turunen   3-7908-1221-8     Springer-Verlag, 1999, ISBN 3-7908-1221-8   Yes    English  
Other online content   LISpMiner   Jan Rauch         Yes    English  
Online book   Mechanizing hypothesis formation   Hajek, P., Havranek, T.         No    English  

Prerequisite relations (Requires logging in to POP)



Correspondence of content

Course Corresponds course  Description 
MAT-63756 Applied logics, 7 cr MAT-42106 Applied logics, 5 cr  

More precise information per implementation

Implementation Description Methods of instruction Implementation
MAT-63756 2014-01        

Last modified07.08.2014